920008370160 has 960 divisors, whose sum is σ = 3752639815680. Its totient is φ = 206411673600.

The previous prime is 920008370147. The next prime is 920008370207. The reversal of 920008370160 is 61073800029.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186347212 + ... + 186352148.

It is an arithmetic number, because the mean of its divisors is an integer number (3908999808).

Almost surely, 2^920008370160 is an apocalyptic number.

920008370160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920008370160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876319907840).

920008370160 is an abundant number, since it is smaller than the sum of its proper divisors (2832631445520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

920008370160 is a wasteful number, since it uses less digits than its factorization.

920008370160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 920008370160 in words is "nine hundred twenty billion, eight million, three hundred seventy thousand, one hundred sixty".